An Infinite Elastic Plate Weakened by a Generalized Curvilinear Hole and Goursat Functions
نویسندگان
چکیده
منابع مشابه
Goursat functions for an infinite plate with a generalized curvilinear hole in zeta-plane
Here, we used a rational mapping function with complex constants to derive exact and close expressions of Gaursat functions for the first and second fundamental problems (plane elasticity problems) of an infinite plate weakened by a hole having arbitrary shape. Notable, the area outside the hole is conformally mapped outside a unit circle by means of the rational mapping. The complex variable m...
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Complex variable method (Cauchy integral method) has been applied to derive exact and closed expressions of Goursat functions for the first and second fundamental problems for an infinite plate weakened by a curvilinear hole. The area outside the hole with the hole itself is conformally mapped on the right half-plane by the use of a rational mapping function. This rational mapping consists of c...
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Complex variable methods are used to obtain exact and closed expressions for Goursat’s functions for the stretched infinite plate weakened by two inner holes which are free from stresses. The plate considered is conformally mapped on the area of the right half-plane. Previous work is considered as special cases of this work. Cases of different shapes of holes are included. Also, many new cases ...
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The bending analysis of moderately thick elliptic plates weakened by an eccentric circular hole has been investigated in this article. The nonlinear governing equations have been presented by considering the von-Karman assumptions and the first-order shear deformation theory in cylindrical coordinates system. Semi-analytical polynomial method (SAPM) which had been presented by the author before...
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Mkhitaryan S.M. .................................................................................................................................. 18 On Academician N. Kh. Arutyunyan’s heritage and the development of his investigations The paper highlights Academician N. Kh. Arutyunyan’s main ideas and results in the spheres of torsion of elastic and elastic-creeping bodies, creep theory, conta...
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ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2014
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2014.54070